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arXiv · 2404.18289

The minimal exponent of cones over smooth complete intersection projective varieties

Qianyu Chen·Bradley Dirks·Mircea Mustaţă
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Abstract

We compute the minimal exponent of the affine cone over a complete intersection of smooth projective hypersurfaces intersecting transversely. The upper bound for the minimal exponent is proved, more generally, in the weighted homogeneous setting, while the lower bound is deduced from a general lower bound in terms of a strong factorizing resolution in the sense of Bravo and Villamayor.

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Qianyu Chen, Bradley Dirks, Mircea Mustaţă. 2024-04-28. The minimal exponent of cones over smooth complete intersection projective varieties. https://arxiv.org/abs/2404.18289

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